lagrangian_lqdp#

  • Series: lecture-dp

  • File: lectures/lagrangian_lqdp.md

  • Audit date: 2026-05-28

  • Categories audited: writing, math, code, jax, figures, references, links, admonitions

  • Overall score: 6.0 / 10

  • Priority: HIGH

Score breakdown#

Category

Score

One-line note

Writing

6/10

Several Title-Case H2 headings.

Math

3/10

Apostrophe + ^\prime transpose throughout; pmatrix and \cr.

Code

6/10

Two %%timeit magics; pip install at top; Unicode Greek; otherwise PEP8.

JAX

out of scope

not a JAX lecture.

Figures

9/10

No matplotlib titles; no spine issues; no figsize calls. Clean.

References

8/10

Single {cite} — no narrative-author misuse to flag.

Links

4/10

Four raw markdown links to python-advanced.quantecon.org / python.quantecon.org instead of {doc}.

Admonitions

N/A

No exercises / proofs / notes.

Issues#

Critical#

None found.

High severity#

  • [qe-math-002] — Apostrophe ' and ^\prime used as transpose throughout. Lines: 76, 87, 94, 103, 107, 113, 125, 132, 161-162, 173, 181, 216-217. Count: 60+ occurrences.

  • [qe-writing-006] — Multiple Title Case H2/H3 headings: ## Undiscounted LQ DP Problem (70), ## State-Costate Dynamics (236), ## Reciprocal Pairs Property (258), ## Other Applications (669), ## Discounted Problems (696), ### Transforming States and Controls to Eliminate Discounting (702), ### Lagrangian for Discounted Problem (780).

Medium severity#

  • [qe-math-003] — pmatrix used instead of bmatrix. Count: 6 pmatrix blocks.

  • [qe-math-001] — \cr row separator used inside aligned blocks instead of \\. Lines: 172-175, 208-211, 216-217, 223-225, etc.

  • [qe-link-002] — Four raw markdown links to other QuantEcon series instead of {doc} intersphinx form: python-advanced.quantecon.org/lu_tricks.html, python-advanced.quantecon.org/classical_filtering.html, python-advanced.quantecon.org/dyn_stack.html (×2), python.quantecon.org/re_with_feedback.html. Lines: 61, 66, 676, 827.

  • [qe-code-005] — Uses %%timeit IPython magics for benchmarking. Lines: 662, 667. Style guide prefers quantecon.timeit.

Low severity#

  • [qe-writing-001] — Several multi-sentence paragraphs.

  • [qe-writing-009 (proposed)] — Smart quotes ’ used in narrative.

Strengths#

  • Lecture title in correct Title Case.

  • Definitions bolded (“invariant subspace”, “symplectic”, “reciprocal pairs”, “states”, “costates”, “algebraic matrix Riccati”).

  • Many equation labels and {eq} references used cleanly (24 labels).

  • aligned properly inside $$ (mostly qe-math-006 compliant).

  • No \tag, no bold vectors, no align-inside-$$ issues.

  • pip install at top.

  • No matplotlib titles, no figsize, no axis-label or spine issues.